364.21 is what percent of 1440.18 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1440.18 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1440.18, so we can write it down as 100%=1440.18.
4. We know, that x% equals 364.21 of the output value, so we can write it down as x%=364.21.
5. Now we have two simple equations:
1) 100%=1440.18
2) x%=364.21
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1440.18/364.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 364.21 is what percent of 1440.18

100%/x%=1440.18/364.21
(100/x)*x=(1440.18/364.21)*x       - we multiply both sides of the equation by x
100=3.9542571593312*x       - we divide both sides of the equation by (3.9542571593312) to get x
100/3.9542571593312=x
25.289199961116=x
x=25.289199961116

now we have:
364.21 is 25.289199961116% of 1440.18